A loan used for buying a home is called a mortgage. The
Fernandez family is buying a
$375,000 home. They are taking
out a 30-year mortgage at a rate of 8%.
a. Compute the monthly payment.
b. Find the total of all of the monthly payments for the 30
years.
c. What is the finance charge?
d. Which is greater, the interest or the original cost of the
home.

Answers

Answer 1

Answer:

a. The monthly payment is approximately $2,751.62

b. The total of all monthly payment for the 30 years is approximately $990,582.175

c. The finance charge is approximately $615,582.175

d. The interest is greater than the original cost of the home

Step-by-step explanation:

a. The given parameters for the mortgage are;

The principal amount of the home Fernandez family is buying, P = $375,000

The number of years mortgage they take buy the home = 30 years

The percentage rate of the mortgage, r = 8%

The monthly payment, 'A', for the mortgage is given as follows;

[tex]A = \dfrac{ P \times \left (\dfrac{r}{12} \right ) \times\left (1 + \dfrac{r}{12} \right )^n}{\left (1 + \dfrac{r}{12} \right )^n - 1 }[/tex]

Where;

n = The number of monthly payments = 30 years × 12 months/year = 360 months

Therefore, by substituting the known values, we have;

[tex]A = \dfrac{ 375,000 \times \left (\dfrac{0.08}{12} \right ) \times\left (1 + \dfrac{0.08}{12} \right )^{360}}{\left (1 + \dfrac{0.08}{12} \right )^{360} - 1 } = 2,751.61715172[/tex]

The monthly payment, A = $2,751.61715172 ≈ $2,751.62

b. The total of all monthly payment for the 30 years = 360 × $2,751.61715172 ≈ $990,582.175

c. The finance charge = The total amount repaid - The amount that was financed = The interest payed on the amount financed

∴ The finance charge = $990,582.175 - $375,000 ≈ $615,582.175

d. The interest (approximately $615,582.175) is greater than the original cost of the home ($375,000)


Related Questions

What is the equation of the line that passes through (0, -2) and has a slope of 0?

Answers

Answer:

y = -2

Step-by-step explanation:

The horizontal line through this point has a slop of 0

Pls help answer asap

Answers

Answer:

x = 3

Step-by-step explanation:

3 ( x + 3 ) = 18

( 3 ) ( x ) + ( 3 ) ( 3 ) = 18

3x + 9 = 18

3x + 9 − 9 = 18 − 9

3x = 9

3x/3 = 9/3

x=3

I hope this helps you :D

If the sales tax rate is 5% in California, then how much would you pay in Los Angeles for a pair of shoes that cost $35.00? ​

Answers

Answer:

$36.75

Step-by-step explanation:

The sales tax rate = 5 = 0.05  [Divide by 100 to convert in decimal]

The cost of a pair of shoes = $35.00

Tax amount to pay = Tax rate × Cost of a pair of shoes

5% of 35 = 1.75

35 + 5% = $36.75

need help doing this question!!

Answers

Answer:

6

Step-by-step explanation:

the diameter is double the radius which the distance from the center of the circle to to the edge or line AG.

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
8 to 20

Answers

Answer:

2 : 5

Step-by-step explanation:

Have you ever done something and regretted it literally 2 seconds later
Well I have
I decided it would be a good idea to eat a small bag of takis
somehow forgetting that I literally cant eat spicy food without crying
so I ate the bag and now I feel like I am dying
so thank you for listening to my ted talk

Answers

Answer:

sos

Step-by-step explanation:

At 5:00 am, the temperature was -9°F, and at
9:00 am, it was 6'F. Which temperature is
farther from zero?

Answers

Answer:

-9°F

Step-by-step explanation:

If we have a horizontal line in which the zero is in the middle, the positive numbers are on the right and the negative numbers are on the right, we would see that -9°F is further than 6°F. Even though -9°F is a smaller temperature, it is still further away from the zero.

Answer this from male and then down or in a row make it clear winner gets brainliest

Answers

Answer:

Hope it helps u

Step-by-step explanation:

 Check this image it contain ur part a

for part b post this question    again then tag me i will solve it properly for u for any doubt just ask ok!!!!!!

Answer:

white male=14white female=7black male=18black female=9total male=32total female=16total rabbits=48

hope it helps.

Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and bare
the
legs. Round your answers to the nearest tenth if necessary.
a = 8.8 ft, b = 9 ft

Answers

Answer:  12.6 ft

Step-by-step explanation:

a = 8.8 ft

b = 9 ft

c = ?

Since it is a right triangle, we can use the Pythagorean Theorem to solve for missing side c, the hypotenuse.

a^2 + b^2 = c^2

(8.8)^2 + (9)^2 = c^2

158.44 = c^2

(158.44)^(1/2) = c

12.5873 = c

c = 12.6 ft (rounded to the nearest tenth)

what is the slope of line please help

Answers

Answer:

m = 1/2

Step-by-step explanation:

Rise over run

Rise 1, run 2 to the right

1/2

Answer: M= 1/2.

Explanation:

which graph shows dilation?

Answers

Answer:

The second one pictured

Step-by-step explanation:

Why do you think inequalities can have multiple solutions?

Answers

Answer:

Most of the time, an inequality has more than one or even infinity solutions. For example the inequality: x>3 . The solutions of this inequality are "all numbers strictly greater than 3".The inequality has an infinite amount of solutions.

hope this helps!!:)

Step-by-step explanation:

20 POINTS PLS HELP
What is true of the data in the dot plot? Check all that apply.

Number of Minutes Shelly Spent Waiting for the Bus Each Morning
A dot plot going from 10 to 15. 10 has 2 dots, 11 has 4 dots, 12 has 0 dots, 13 has 3 dots, 14 has 6 dots, 15 has 1 dot.
The center is 13.
The center is 14.
The peak is at 14.
It has two clusters.
It is skewed left.
The spread is from 13 to 15.
The person waited for the bus 16 times.

Answers

Answer:

True answers for data in the plot are

The center is 13

The center is not 14

The Peak is 14.

It has three clusters

It is not symmetric to left or right it is bi-modal.

It is has a range from 10 to 15 most number of data points are 13 to 15.

Total number times Shelly waited is 16 times.

Step-by-step explanation:

While taking cumulative frequency 56.75 percentage comes in 13%.

It is the center point of the data.

The 14  is not the center as it shows 93rd percent.

It has three clusters 0-2 has one cluster,2-4 has 2nd cluster,5-8 third.

It is not skewed on the left is has bi modal frequency has two heights.

The person indeed waited for 16 times adding total dots.

There was a zero 12 which created bi-modal distribution

What is the value of Q DUE BY 3PM 2/1

Answers

Answer:

70

Step-by-step explanation:

180-110=70

One quarter of a number x is 7. Write the equation may be used to find x.

Answers

Answer:

[tex]\frac{1}{4}[/tex] x = 7

Step-by-step explanation:

We are told one quarter of x is equal to 7 , then the equation is

[tex]\frac{1}{4}[/tex] x = 7 ( multiply both sides by 4 to clear the fraction )

x = 28

The area a rectangle is 5/18 square foot. If the length of the rectangle is 5/6 foot, what is the width of the rectangle in feet?
25/108 feet
1/3 feet
5/9 feet
3 feet

Answers

Try the last one
You are smart I know you are

a) Complete the table of values for y
b) Draw the graph of y = 2x + 3
on the grid.​

Answers

Answer:

Step-by-step explanation:

You should share the table that was given; your first job is to complete the table.  Setting up a table from scratch:

 x     y = 2x + 3      point (x, y)

 0     2(0) + 3 = 3    (0, 3)

 1       2(1) + 3 = 5     (1, 5)   and so on.

The y-intercept is (0, 3) (which is shown above), and the slope of the line is 2.  

Plot (0, 3).  Because the slope of the line is 2, we move 1 space to the right from (0, 3), to (1, 3) and then 2 spaces UP from (1, 3) to (1, 5).

Draw a straight line through (0, 3) and (1, 5).


Given right triangle XYZ with altitude WZ, let WY = 10 cm and XY = 13 cm. Find the
length of WZ.
A.5.4
B.11.4
C.7.3
D.3

Answers

.........The answer is B

i have attached the question !!!!!!!!!!!please solve it and give me an answer please

Answers

Answer:

Total area = 232.5 m²

Total cost to paint the area = £139.5

Step-by-step explanation:

Area of the composite figure = Area of trapezoid A + Area of rectangle B +                  Area of trapezoid C

Area of trapezoid A = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides and h is the distance between them.

Area of A = [tex]\frac{1}{2}(8+10)4[/tex]

                = 36 square meter

Area of rectangle B = Length × width

                                 = 12 × 10

                                 = 120 m²

Area of trapezoid C = [tex]\frac{1}{2}(10+7)(9)[/tex]

                                 = 76.5 m²

Therefore, area of the composite figure = 36 + 120 + 76.5

                                                                   = 232.50 m²

Cost of paint = £6 for a tin that covers 10 m²

Therefore, total cost to paint the given figure = [tex]\frac{6}{10}\times 232.5[/tex]

                                                                            = £139.5

Convert decimals to fractions .5

Answers

Answer:

5/10

Step-by-step explanation:

.5 is in the tenths place

so the bottom number (denominator) would be 10

Look at the following numbers:
-6, 0, 6, 12
Which pair of numbers has a sum of O?
O 6, 12
O 0,6
O-6,0
O 6, -6

Answers

Answer: 6,-6

Step-by-step explanation:

Because when you add the same number and one of them is a negative it will always be a zero. For example: (-2+2)= 0

I'm sorry if this didn't help.

What is the value of x? Enter your answer in the box.

Answers

Answer:

x = 9

Step-by-step explanation:

Similar Triangles

We are given a shape where two similar triangles are given. The similarity theorem states that the side lengths of the triangles must be proportional in the same scale factor.

The total length of the left side is 72+9 = 81 cm

The smaller length of the left side is 9 cm

The proportion is 81/9 = 9. This is the scale factor.

The total length of the right side is 3x - 20 + 56 = 3x + 36

The smaller length of the right side is 3x-20

The proportion must be equal to 9:

[tex]\displaystyle \frac{3x+36}{3x-20}=9[/tex]

Multiplying by 3x-20:

3x+36=9(3x-20)

Operating

3x+36=27x-180

Rearranging:

24x = 216

Dividing by 24:

x = 9

Plssss help me with my homework

Answers

the answer is 9 pls mark as brainliest :))

DESPERATE WILL GIVE BRAINLIST AND THANKS
A right rectangular prism is shown.

What is the length of DH¯¯¯¯¯¯ to the nearest tenth of an inch?

Drag and drop the answer into the box.

Response area in.
1.82.43.55.4
A cuboid with points labeled from A to H. It has a height of 3 inches, a width of 1.5 inches, and a depth of 1 inch.

A.3.5
B.1.8
C.2.4
D.5.4

Answers

Answer:

Step-by-step explanation:

Sorry but there's know question.

Answer:

3.5 Inches

Step-by-step explanation:

The graph shows a driver’s distance versus time.

On a coordinate plane, the x-axis is labeled Time (hours) and the y-axis is labeled Distance (miles). A line connects points (0, 0), (3, 120), (5, 60), and (8, 180).

Which statements are true? Check all that apply.
The average speed for the first 3 hours is 40 miles per hour.
The graph shows a proportional relationship for the full 8 hours.
The average speed for the last 3 hours is 40 miles per hour.
The total distance driven is 180 miles.
The distance always increases as time increases.

Answers

Answer:

A and C

Step-by-step explanation:

Andre says that 4x + 7 + 6x + (-1) and 15x + 5 + 1 - 5x are equivalent because they both equal 10x + 6.

Do you agree with Andre?

a) No

b) Yes

Answers

Answer:

Yes

Step-by-step explanation:

I know that is right.


After a hike, a group of students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expression represents this
situation?
A(5x8) / s
B. 5x (8/s)
C. Sx (5+8)
D. (S+5)x8

Answers

Answer: D

Step-by-step explanation:

Can somebody please help me on this? Thank you.​

Answers

Answer:

21a. A = J - 13

      J = 29

21b. A = Greenville to Artaville

       J = Greenville to Jonesborough

Step-by-step explanation:

Part A
What is the equation that represents the measures of each angle if m ABC = 22mZCBD = 3.and m EBD = 4.1??

Answers

Answer:

choice b a.k.a 2 choice

Step-by-step explanation:

WILL MARK BRAINLIEST PLEASE PLEASE solve the inequality for x. -2x - 2 < 8

Answers

Answer:

Step-by-step explanation:

we will add like terms

-2x-2<8

we will add 2 on both sides

-2x<10

divide by 2

-x<5

multiply by -1

x>-5

Other Questions
What happens in the postsynaptic neuron when excitatory neurotransmitters bind to receptors? GIVING OUT 43 POINTS FOR THIS! Welly solved the inequality below. Select the answer that best describes Welly's work Welly solved the problem correctly. 66 is a solution to the inequality Welly solved the problem correctly. 66 is a solution to the inequality Welly solved the problem incorrectly. 66 is too large to be a solution to the equation. Welly solved the problem incorrectly. 66 is too large to be a solution to the equation. Welly solved the problem incorrectly. 66 is too small to be a solution to the problem. HURRY PLEASE AT LEAST A FEW SENTENCES. Why are the tropical climates of Hawaii and Florida important for agriculture in the United States? Answer plss Ill give brainlist to anyone who gets it right 3x-5x+2y-1y+4- -7+3xy+1xy HELPPPPPPP MEEEEEEEEEEEEEEEE Use either Gaussian elimination or Gauss-Jordan elimination to solve the given system or show that no solution exists. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, use t for the parameter.) x1 + x2 + x3 = 0 x1 + x2 + 9x3 = 0 Susan Marciano invested part of her $38,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 5% loss. Find the amount of each investment if her overall net profit was $3,350. Plz help and ignore the equations below What were the economical benefits of bacons rebellion? when predicting chemical bonds, it is important to know... The mass of the nails and copper sulfate solution used in this investigation was 250g The mass of the copper and tran sulfate solution produced in thisnvestigation would be250g Help me please if you get it right brainless for you ^-^ PPPLLLZZZZZZ HELP! TnT ASAP! ( MATH ) FIRST ONE GETS BRAINLIST, A THANK YOU AND POINTS!! *crying inside*. TwT Look for the moment where Gorman describes herself in the poem "the hills we climb". How does she describe herself? Which of her own identities does she name? Why do you think she chooses to name these identities in this poem about American democracy? The line CD passes through the points C (2, -1) and D (1.1). Which of thefollowing represents the equation of the line in Point-Slope Form? 3 x 7/18 as a fraction in simplest form the price of a video game was reduced from 75$ to 60$.By what percentage was the price of the video game reduced Find the HCF of 35 and 56